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Zbl 0793.92014
Kuang, Yang; Takeuchi, Yasuhiro
Predator-prey dynamics in models of prey dispersal in two-patch environments. (English)
[J] Math. Biosci. 120, No.1, 77-98 (1994). ISSN 0025-5564

Summary: Models are presented for a single species that disperses between two patches of a heterogeneous environment with barriers between patches and a predator for which the dispersal between patches does not involve a barrier. Conditions are established for the existence, uniform persistence, and local and global stability of positive steady states. In particular, an example that demonstrates both the stabilizing and destabilizing effects of dispersion is presented. This example indicates that a stable migrating predator-prey system can be made unstable by changing the amount of migration in both directions.

MSC 2000:: *92D40 Ecology
34D05 Asymptotic stability of ODE

Keywords: two-patch environment; single species; heterogeneous environment; barriers between patches; existence; uniform persistence; local and global stability; positive steady states; example; dispersion; stable migrating predator-prey system; amount of migration

Cited in: Zbl 1045.34027

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